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Finding the Third Proportional to 8,000 and 17,586

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Solution

The third proportional to 8,000 and 17,586 is: 38,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 17,586 = 17,586 : x
  2. Step 2: Convert to fraction form
    8,000/17,586 = 17,586/x
  3. Step 3: Cross multiply
    8,000x = 17,586 × 17,586
  4. Step 4: Simplify right side
    8,000x = 309,267,396
  5. Step 5: Solve for x
    x = 309,267,396/8,000
  6. Step 6: Final answer
    x = 38,658.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.